Semistability of Lazarsfeld–Mukai bundles via parabolic structures

DOI10.1080/00927872.2019.1602871zbMath1437.14018arXiv1711.09077OpenAlexW2966348323MaRDI QIDQ5238139

Poornapushkala Narayanan

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09077

zbMATH Keywords

surfacesemistabilityparabolic bundleLazarsfeld-Mukai bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Divisors, linear systems, invertible sheaves (14C20) Coverings in algebraic geometry (14E20)

Cites Work

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• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• Stability of rank-3 Lazarsfeld-Mukai bundles on K 3 surfaces
• Green’s conjecture for curves on arbitrary K3 surfaces
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• Moduli of vector bundles on curves with parabolic structures
• Lazarsfeld-Mukai reflexive sheaves and their stability
• Extension groups of tautological sheaves on Hilbert schemes
• green's canonical syzygy conjecture for generic curves of odd genus
• ON TWO CONJECTURES FOR CURVES ON K3 SURFACES

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